An extension of the notion of zero-epi maps to the context of topological spaces

DOI10.4171/ZAA/1088zbMath1009.47055OpenAlexW2076371425MaRDI QIDQ699318

Alfonso Vignoli, Massimo Furi

Publication date: 12 November 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1088

zbMATH Keywords

fixed pointshomotopy invarianceLeray-Schauder degreecontinuation principlehomotopy principle0-epi mapsabsolute neighborhood retractsessential compact vector fieldshyper-solvable equationsLefschetz number theory

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Degree theory for nonlinear operators (47H11) Fixed points and coincidences in algebraic topology (55M20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Cites Work

• On embedding uniform and topological spaces
• On the solvability of nonlinear operator equations in normed spaces
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